Courses

Loops and Legs in QFT (Dec 7-16)

Instructor: V. Ravindran (IMSc)

Guest Faculty : Prakash Mathews (SINP) and Ambresh Shivaji (IISER Mohali)

Broad Outline:

Soft collinear effective theory(SCET), Higher order QCD radiative corrections, multi-loop and multi-leg computations, helicity amplitude techniques, BCFW, Berends-Giele, etc. IR structure of gauge theories, soft and virtual approximation, resummation of soft gluons, NLO QCD: theory and tools (FeynCalc, Madgraph, aMC@NLO), Jet physics (algorithms, jet substructures, etc), transverse momentum PDFs, pQCD for the Higgs and Top physics at the LHC.

Entanglement, SYK Models and Chaos (Dec 7-16)

Instructor : Arnab Kundu (SINP)

Guest Faculty : Bobby Ezhuthachan (RKMVERI) and Shouvik Datta (UCLA)

Broad Outline:

Various aspects of entanglement, discussion of different measures, like entanglement entropy: von Neumann, Renyi; relative entropy, entanglement negativity, SYK models: Majorana, complex fermions, in conformal limit, large q limit. Relation to quantum chaos, Lyapunov exponent. Saturation of the bound on the Lyapunov exponent. Holographic dual description.

Integrable Field Theories (Dec 17-26)

Instructor : Govind Krishnaswami (CMI)

Guest Faculty : Dileep Jatkar (HRI)

Broad Outline:

Introduction, integrability in mechanics, historical survey & examples. Main development in context of Nonlinear Schrodinger and KdV equations. Lax pairs, zero curvature representation, spectral parameter. Monodromy matrix and infinitely many conserved quantities. Fundamental Poisson brackets, r-matrix and conserved quantities in involution. Classical Yang-Baxter equation. Inverse scattering transform: Gelfand-Levitan-Marchenko equation and solitons. Bi- hamiltonian structure. Hierarchies of integrable models. Bethe ansatz, Quantum r-matrix, Quantum inverse scattering, Quantum Yang-Baxter equation. Survey of other developments: spin chains, twistors, instantons, ntegrability in AdS/CFT.

B Physics (Dec 17-26)

Instructor : Anirban Kundu (CU)

Guest Faculty : Soumitra Nandi (IITG) and Jyoti Prasad Saha (KU)

Broad Outline:

Flavour in SM, CKM matrix, unitarity triangle, introduction to tree- and loop-level processes. Construction of effective 4-fermion operators from the full weak interactions. Leptonic (tree- level annihilation), semileptonic and nonleptonic decays. Introduction to form factors (BSW). B-Bbar mixing. b -> s gamma (if time permits). CP violation: direct and mixing-induced. Determination of the UT angles. Introduction to semileptonic asymmetries and angular observables. CP violation in the K system, epsilon_K and epsilon’/epsilon. K -> pi nu nu-bar. Introduction to different topologies. Construction of the full 10-operator basis (in the SM). Operator mixing and determination of the Wilson Coefficients at m_b. Heavy Quark Effective Theory and determination of the Isgur-Wise form factors. Status of 1/m_b, 1/m_c, and higher- order alpha_s corrections. Determination of V_cb. Leptonic flavour violation. Trilepton decays through effective operators. New Physics through flavour. Mixing and rare decays. Semileptonic Anomalies. (Optional : link to other sectors, such as neutrinos / LHC)